﻿ Geometry Module 4 | EngageNY

## Geometry Module 4

Geometry Module 4: Connecting Algebra and Geometry Through Coordinates

In this module, students explore and experience the utility of analyzing algebra and geometry challenges through the framework of coordinates. The module opens with a modeling challenge, one that reoccurs throughout the lessons, to use coordinate geometry to program the motion of a robot that is bound within a certain polygonal region of the plane—the room in which it sits. To set the stage for complex work in analytic geometry (computing coordinates of points of intersection of lines and line segments or the coordinates of points that divide given segments in specific length ratios, and so on), students will describe the region via systems of algebraic inequalities and work to constrain the robot motion along line segments within the region.

The student materials consist of the student pages for each lesson in Module 4.

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials.

Resources may contain links to sites external to the EngageNY.org website. These sites may not be within the jurisdiction of NYSED and in such cases NYSED is not responsible for its content.

 Geometry Module 4: Teacher Materials (9.46 MB) View PDF Geometry Module 4: Student Materials (2.29 MB) View PDF Geometry Module 4: Copy Ready Materials (1.15 MB) View PDF Geometry Module 4: Module Overview and Assessments - Zip File of Individual Documents (2.44 MB) Geometry Module 4: Topic Overviews - Zip File of Individual Documents (2.28 MB) Geometry Module 4: Teacher Materials - Zip File of Individual Documents (20 MB) Geometry Module 4: Student Materials - Zip File of Individual Documents (10.83 MB) Geometry Module 4: Arabic - Zip Folder of PDF Files (5.49 MB) Geometry Module 4: Arabic- Zip Folder of Word Documents (5.04 MB) Geometry Module 4: Simplified Chinese - Zip Folder of PDF Files (5.68 MB) Geometry Module 4: Simplified Chinese - Zip Folder of Word Documents (5.61 MB) Geometry Module 4: Spanish - Zip Folder of PDF Files (4.58 MB) Geometry Module 4: Spanish - Zip Folder of Word Documents (4.85 MB) Geometry Module 4: Traditional Chinese - Zip Folder of PDF Files (6.27 MB) Geometry Module 4: Traditional Chinese - Zip Folder of Word Documents (5.71 MB)

## Common Core Learning Standards

CCLS State Standard
G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove...
G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric...
G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a...